Base | Representation |
---|---|
bin | 101101101100… |
… | …1110110101000 |
3 | 1200002100022110 |
4 | 1123121312220 |
5 | 22113223000 |
6 | 2213322320 |
7 | 410444100 |
oct | 133316650 |
9 | 50070273 |
10 | 23961000 |
11 | 12586288 |
12 | 80363a0 |
13 | 4c6c30b |
14 | 327a200 |
15 | 2184850 |
hex | 16d9da8 |
23961000 has 192 divisors, whose sum is σ = 87497280. Its totient is φ = 5443200.
The previous prime is 23960999. The next prime is 23961011. The reversal of 23961000 is 16932.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146919 + ... + 147081.
It is an arithmetic number, because the mean of its divisors is an integer number (455715).
Almost surely, 223961000 is an apocalyptic number.
23961000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43748640).
23961000 is an abundant number, since it is smaller than the sum of its proper divisors (63536280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23961000 is a wasteful number, since it uses less digits than its factorization.
23961000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 201 (or 180 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 21.
The square root of 23961000 is about 4894.9974463732. The cubic root of 23961000 is about 288.2935856495.
Adding to 23961000 its reverse (16932), we get a palindrome (23977932).
The spelling of 23961000 in words is "twenty-three million, nine hundred sixty-one thousand".
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